3394896000 has 256 divisors, whose sum is σ = 11376443520. Its totient is φ = 895488000.

The previous prime is 3394895983. The next prime is 3394896007. The reversal of 3394896000 is 6984933.

It is not an unprimeable number, because it can be changed into a prime (3394896007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5135670 + ... + 5136330.

Almost surely, 2^3394896000 is an apocalyptic number.

3394896000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3394896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688221760).

3394896000 is an abundant number, since it is smaller than the sum of its proper divisors (7981547520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3394896000 is a wasteful number, since it uses less digits than its factorization.

3394896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3394896000 is about 58265.7360718973. The cubic root of 3394896000 is about 1502.9417823948.

The spelling of 3394896000 in words is "three billion, three hundred ninety-four million, eight hundred ninety-six thousand".